Q. 166 - Intermediate Algebra

Question

In the following exercises, convert each number to decimal form.

(a) $5.2\times {10}^2$ (b) $2.5\times {10}^{-2}$

Step-by-Step Solution

Answer

Decimal form is

(a)$5200$

(b)$0.025$

part (a) Step 1 Given information

$5.2\times {10}^2$

part (a) Step 2

$$\begin{gathered} 5.2\times {10}^2=5.2\times 100 \\ =5200 \end{gathered}$$

part (b) Step 1 Given information

$2.5\times {10}^{-2}$

part (b) Step 2

$$\begin{gathered} 2.5\times {10}^{-2}=\frac{2.5}{100} \\ =0.025 \end{gathered}$$